Answer:
<h2>Let the number is = X </h2><h2>Two thirds of the number = 2x/3</h2><h2 /><h2>According to the problem given,</h2><h2>x+ 2x/3 = 55</h2><h2>( 3x + 2x ) /3 = 55</h2><h2>5x /3 = 55</h2><h2>x = ( 55 × 3 ) /5</h2><h2>x = 11 × 3</h2><h2>x = 33 </h2>
<h2>Therefore,</h2><h2>Required number = x = 33</h2>
<span><span>220<span> cm2</span>/s </span>
EXPLINATION</span>
L length of rectangel (cm)
W width of rectangel(cm)
A area of rectangel (cm²)
T time (s)
we are told that:
d1\dt=8cm\s(const),and dw\dt =3cm\s(const)
the area of the rectangel is
A=LW
Differentiating wrt t (using the product rule) we get;
<span><span><span>dA</span><span>dt</span></span>=<span>(l)</span><span>(<span><span>dw</span><span>dt</span></span>)</span>+<span>(<span><span>dl</span><span>dt</span></span>)</span><span>(w)</span></span>
∴<span><span>dA</span><span>dt</span></span>=3l+8w
So when <span>l=20</span><span> and </span><span>w=10⇒</span>
<span> <span><span>dA</span><span>dt</span></span>=3⋅20+8⋅20</span>
<span>∴<span><span>dA</span><span>dt</span></span>=60+160</span>
<span>∴<span><span>dA</span><span>dt</span></span>=220<span> cm2</span>/<span>s</span></span>
Step-by-step explanation:
Basically the area of sphere is 4πr² where r is radius whose value is distance from centre to the edge of the given sphere whereas π (pi) whose value is 3.14 or 22/7. It is defined as the ratio between circle's circumference and it's diameter. But are you aware about the area of circle?? Actually that is πr². If you notice carefully you'll find that area of sphere is 4 times the area of circle. So, if you're provided with the area of circle you can simply multiply the value with 4 to get the area of sphere. But if not, then simply plugin the value of radius and pi in 4πr² to find out the area of sphere.
But since the formula is almost same then how they're different? Well the difference between a sphere and a circle is because of two-dimensional and three-dimensional shape. A circle is a two-dimensional flat shape figure whereas a sphere is a three-dimensional shape.
Talking about the unit of sphere. The unit we use is always the same as the units of radius i.e. cm or m. Since, it is the square of the radius in the given formula, then the unit is also the square of the units, or cm² or m².
Answer:
Question 21: C.
Question 22: I.
Question 23: E.
Question 24: B.
Step-by-step explanation:
#21: The first statement is presented in the "Given" section.
#22: Since the reflexive property states that anything is equal to itself, BC ≅ BC.
#23: C being the midpoint of AD means that C is the same distance from both point A and point D. This then means that AC ≅ CD.
#24: AB ≅ DB due to the given, BC ≅ BC (since it's the same side), and we've proven that AC ≅ CD using a midpoint. We've proven <em>all three sides</em> on the two triangles to each other are congruent. This means that we've proven the triangles using SSS, which is B.
Follow the order of operations!!
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
that is in order. follow these and you should figure it out yourself :)
